Unit VI

Logical Reasoning

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A fusion of Western logic and Indian philosophy: classical Greek marble pillars alongside ancient Sanskrit manuscripts and mandalas. — The synthesis of Aristotelian Logic and classical Nyaya epistemology.

Logical reasoning is the systematic process of moving from premises to valid conclusions. In the UGC NET Paper 1 curriculum, this unit is exceptionally broad and detailed, synthesizing two historically profound schools of thought: classical Western logic (rooted in Aristotle) and classical Indian epistemology (specifically the Nyaya school) (Radhakrishnan, 1923; Copi et al., 2014).

This chapter demands careful study, as it introduces highly formalized rules for argument validity, alongside complex Sanskrit terminology governing the Indian philosophical mechanisms of obtaining valid knowledge (Pramanas).

Chapter Outline

6.1 Structure of Arguments
Categorical propositions, Mood and Figure, and the distinction between connotation and denotation.
6.2 Classical Square of Opposition
The logical relationships between A, E, I, and O propositions (Contradictory, Contrary, Subcontrary, and Subaltern).
6.3 Fallacies & Venn Diagrams
Distinguishing formal from informal fallacies, and employing Venn diagrams to establish argument validity.
6.4 Indian Logic: Means of Knowledge (Pramanas)
Perception (Pratyaksha), Inference (Anumana), Comparison (Upamana), Verbal Testimony (Shabda), Implication (Arthapatti), and Non-apprehension (Anupalabddhi).
6.5 Structure of Anumana & Hetvabhasas
The architecture of Indian inference, invariable concomitance (Vyapti), and the fallacies of inference (Hetvabhasas).

💡 Examiner's Note

Unit VI is historically one of the most challenging sections. Questions on the Square of Opposition and Indian Logic terminology appear in virtually every examination paper.

Academic References

Copi, I. M., Cohen, C., & McMahon, K. (2014). Introduction to logic (14th ed.). Pearson.
Radhakrishnan, S. (1923). Indian philosophy (Vol. 2). George Allen & Unwin.